A spectral method for optimal control problems governed by the abnormal diffusion equation with integral constraint on state

DOI10.1360/N012015-00206zbMath1499.65584MaRDI QIDQ5063714

Chuanju Xu, Xingyang Ye

Publication date: 21 March 2022

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

zbMATH Keywords

optimal controlspectral methodfractional diffusion equationspriori error

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDE constrained optimization (numerical aspects) (49M41)

Related Items

A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems, Finite element approximation of time fractional optimal control problem with integral state constraint, A posteriori error estimates of spectral method for the fractional optimal control problems with non-homogeneous initial conditions, An efficient and accurate numerical method for the fractional optimal control problems with fractional Laplacian and state constraint, Spectral Galerkin method for state constrained optimal control of fractional advection‐diffusion‐reaction equations, Finite element approximation of optimal control problem with integral fractional Laplacian and state constraint, Adaptive finite element approximation of optimal control problems with the integral fractional Laplacian, Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian, A spectral Galerkin approximation of optimal control problem governed by fractional advection-diffusion-reaction equations, Finite element approximation of optimal control problem governed by space fractional equation, Fractional spectral collocation method for optimal control problem governed by space fractional diffusion equation, Spectral Galerkin approximation of optimal control problem governed by Riesz fractional differential equation, A priori error analysis for time-stepping discontinuous Galerkin finite element approximation of time fractional optimal control problem, Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation